write an equation in slope - intercept form of the line. (use integers or fractions for any numbers in the…
write an equation in slope - intercept form of the line. (use integers or fractions for any numbers in the equation.)
Answer
Explanation:
Step1: Find the y - intercept
The line crosses the y - axis at $y = 4$, so $b = 4$.
Step2: Calculate the slope
Choose two points on the line, say $(- 8,6)$ and $(8,2)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{2 - 6}{8-(-8)}=\frac{-4}{16}=-\frac{1}{4}$.
Step3: Write the equation
The slope - intercept form is $y=mx + b$. Substituting $m =-\frac{1}{4}$ and $b = 4$ gives $y=-\frac{1}{4}x + 4$.
Answer:
$y=-\frac{1}{4}x + 4$